List questions from complex-integration

Published on 31 Oct 2018 - 22:35

83

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Existence of complex anti-derivative

Published on 01 Nov 2018 - 13:33

105

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Complex analysis cookbook? (Soft question)

Published on 01 Nov 2018 - 17:02

515

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Finding $\int_{0}^{\pi} 2\pi\frac{R^2(z-R\cos\theta)\sin\theta }{\sqrt{(R^2+z^2-2zR\cos\theta)^3}}\,d\theta$

Published on 01 Nov 2018 - 21:09

77

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Simplification of complex conjugates

Published on 02 Nov 2018 - 20:14

66

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How to get a formula for the definite integral mentioned below

Published on 03 Nov 2018 - 21:09

40

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Residues at a finite point

Published on 06 Nov 2018 - 7:13

47

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Using the Residue Theorem for Complex Integrals

Published on 09 Nov 2018 - 13:08

136

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Verify Cauchy's integral theorem

Published on 10 Nov 2018 - 20:59

495

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Methods to solve $\int_{0}^{\infty} x^{n}\cos(x)\:dx$

Published on 25 Mar 2026 - 21:47

132

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Prove a certain holomorphic function does not exist.

Published on 12 Nov 2018 - 0:39

27

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Prove a certain relation holds for a holomorphic function.

Published on 12 Nov 2018 - 0:59

338

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Computing a real integral using the Cauchy integration formula

Published on 12 Nov 2018 - 20:30

150

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Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

Published on 24 Mar 2026 - 22:15

368

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$\int_\gamma \frac{e^z}{(z^2+1)^2} dz$ where $\gamma$ is $C(0,2)$ traversed twice counter-clockwise.

Published on 17 Nov 2018 - 1:53

List Question

Power series of $f(z)^8$

Existence of complex anti-derivative

Complex analysis cookbook? (Soft question)

Finding $\int_{0}^{\pi} 2\pi\frac{R^2(z-R\cos\theta)\sin\theta }{\sqrt{(R^2+z^2-2zR\cos\theta)^3}}\,d\theta$

Simplification of complex conjugates

How to get a formula for the definite integral mentioned below

Residues at a finite point

Using the Residue Theorem for Complex Integrals

Verify Cauchy's integral theorem

Methods to solve $\int_{0}^{\infty} x^{n}\cos(x)\:dx$

Prove a certain holomorphic function does not exist.

Prove a certain relation holds for a holomorphic function.

Computing a real integral using the Cauchy integration formula

Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

$\int_\gamma \frac{e^z}{(z^2+1)^2} dz$ where $\gamma$ is $C(0,2)$ traversed twice counter-clockwise.

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